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  4. Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed ω . The discs are in the same horizontal plane. At time t =0, the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is v r . In one time period ( T) of rotation of the discs, vr as a function of time is best represented by <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/b5edbe1bbe39ebbc00c6ccbde80a362a-.png />

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Q. Two identical discs of same radius $R$ are rotating about their axes in opposite directions with the same constant angular speed $\omega .$ The discs are in the same horizontal plane. At time $t =0,$ the points $P$ and $Q$ are facing each other as shown in the figure. The relative speed between the two points $P$ and $Q$ is $v _{ r }$. In one time period ( $T$) of rotation of the discs, $v_{r}$ as a function of time is best represented by
image

AIEEEAIEEE 2012

Solution:

In each rotation relative speed becomes zero twice and becomes maximum twice.